Challenge: Existing methods for temporal knowledge graphs can hardly model temporal relation patterns, lacking of interpretability.
Approach: They propose a temporal modeling method which represents temporal entities as Rotations in Quaternion Vector Space and relations as complex vectors in Hamilton’s quaterniont space.
Outcome: The proposed method can model key patterns of relations in TKG, such as symmetry, asymmetry, and inverse, and can capture time-evolved relations by theory.

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Challenge: Existing knowledge graphs that contain time information for entities and relations have been used for learning and inference.
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MetaTKG: Learning Evolutionary Meta-Knowledge for Temporal Knowledge Graph Reasoning (2022.emnlp-main)

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Challenge: Existing models rely on historical information to learn embeddings for entities, but ignore the evolution of facts.
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Challenge: Existing knowledge graph embedding models fail to model semantic hierarchies . Existing methods fail to understand the semantic hierarchies of knowledge graphs .
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Relation Logical Reasoning and Relation-aware Entity Encoding for Temporal Knowledge Graph Reasoning (2025.coling-main)

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Challenge: Current knowledge graph models focus on embedding entities and relations, overlooking the broader structure of the entire knowledge graph.
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Challenge: Existing methods for EA between temporal KGs incorporate relational and temporal information into entity embeddings.
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TeAST: Temporal Knowledge Graph Embedding via Archimedean Spiral Timeline (2023.acl-long)

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Challenge: Existing temporal knowledge graph embedding models fuse temporal information into entities, limiting their effectiveness and potential applications.
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Temporal Knowledge Graph Reasoning Based on N-tuple Modeling (2023.findings-emnlp)

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Challenge: Existing Temporal Knowledge Graphs (TKGs) only contain their core entities and form them as quadruples.
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Leveraging 3D Gaussian for Temporal Knowledge Graph Embedding (2025.findings-emnlp)

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Challenge: Representation learning in knowledge graphs (KGs) has focused on static data, yet many real-world knowledge graph are inherently dynamic.
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Simple but Effective Compound Geometric Operations for Temporal Knowledge Graph Completion (2024.acl-long)

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Challenge: Current methods embed factual knowledge into continuous vector space and apply geometric operations to learn potential patterns in temporal knowledge graphs.
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Graph Hawkes Transformer for Extrapolated Reasoning on Temporal Knowledge Graphs (2022.emnlp-main)

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Challenge: Existing methods for entity prediction cannot predict when an event will occur . there are many facts not related to the query that can confuse the model .
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